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Could this equation save lives?


The National Highway Traffic Safety Administration (NHTSA) is the Federal agency primarily responsible for safety on the nation’s highways. NHTSA maintains statistics on specific kinds of accidents, conducts crash tests using vehicles and dummies, and performs a number of cutting-edge analyses to improve crash-worthiness of vehicles and occupant protection.

One of NHTSA’s highest priorities is cutting down passenger fatalities from single-vehicle rollovers. NHTSA has developed a simple formula for determining a car’s “stability factor”, based on the ratio between the vehicle’s center of gravity height and its "track width" (width between tire tracks). However, some automotive engineers believe that there may be more accurate predictors of a given car’s likelihood of rolling over in “untripped” (driver-induced) rolls. Ironically, some low-slung cars, once their wheels leave the ground, can actually be harder to bring under control than many cars that fall into the “high CG” category.

Working in collaboration with another accident reconstruction expert, James Sobek, Mr. Miller has developed a different approach to the accurate prediction of roll-over susceptibility. The formula you see above is based not only on the stability factor, but also on the distribution of a rolling vehicle’s mass when its center of gravity is directly over the outside wheels still in contact with the ground. This orientation is called the “metastability point”, because once the vehicle rolls past this point, it is impossible for the operator to regain control without exceptional maneuvering.  The Miller-Sobek model estimates how rapidly a given vehicle’s angular roll rate is increasing as it reaches the metastability angle.

In a preliminary analysis of their model, the Miller-Sobek team applied their formula to 15 car models for which extensive rollover accident information is available. The model correctly predicted the precise order of accident rates, from fewest to greatest rollovers per mile. Using the same information, applying the traditional stability factor currently in use did not. (See the Accident Reconstruction page.)

Miller and Sobek are refining their research, and soon hope to present NHTSA with their final analyses for all 2500+ vehicles in the NHTSA database of vehicle models. If the proposed new formula works with all types and sizes of vehicles, it may help identify new vehicle models that are at higher risk.

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